101117031 has 16 divisors (see below), whose sum is σ = 142247040. Its totient is φ = 63715680.

The previous prime is 101116987. The next prime is 101117047. The reversal of 101117031 is 130711101.

It is not a de Polignac number, because 101117031 - 2¹⁴ = 101100647 is a prime.

It is a super-2 number, since 2×101117031² = 20449307916509922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101117031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101117531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26181 + ... + 29793.

It is an arithmetic number, because the mean of its divisors is an integer number (8890440).

Almost surely, 2^101117031 is an apocalyptic number.

101117031 is a deficient number, since it is larger than the sum of its proper divisors (41130009).

101117031 is a wasteful number, since it uses less digits than its factorization.

101117031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126.

The product of its (nonzero) digits is 21, while the sum is 15.

The square root of 101117031 is about 10055.6964452991. The cubic root of 101117031 is about 465.8807541164.

Adding to 101117031 its reverse (130711101), we get a palindrome (231828132).

The spelling of 101117031 in words is "one hundred one million, one hundred seventeen thousand, thirty-one".